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Finding the Third Proportional to 313,396.50 and 477,441

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Solution

The third proportional to 313,396.50 and 477,441 is: 727,353.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,396.50 : 477,441 = 477,441 : x
  2. Step 2: Convert to fraction form
    313,396.50/477,441 = 477,441/x
  3. Step 3: Cross multiply
    313,396.50x = 477,441 × 477,441
  4. Step 4: Simplify right side
    313,396.50x = 227,949,908,481
  5. Step 5: Solve for x
    x = 227,949,908,481/313,396.50
  6. Step 6: Final answer
    x = 727,353.08

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.